Knowing that, ignoring air resistance, an apple falling from a height h hits the ground when2ht =If you include air resistance, then vs 0 willappear and the equation of motion becomes:v(t) = –mgtanhgkmWith k>0. Show thatmggkv(t) = -tanhmand also show that the apple takes time to touch the ground iskh2khkgCheck that this matches the answer when we don't consider theair resistance withk→ 0. Tip: for very small x valuese 21+ x and In(1 + x )E x

Knowing that, ignoring air resistance, an apple falling from a height h hits the ground when 2h If you include air resistance, then v s0 will appear and the equation of motion becomes: v(t) = - mg tanh m With k> 0. Show that v(t) = mg -tanh and also show that the apple takes time to touch the ground is Check that this matches the answer when we don't consider the air resistance with k → 0. Tip: for very small x values e 1+x and In(1 + x e x

Knowing that, ignoring air resistance, an apple falling from a height h hits the ground when 2h If you include air resistance, then v s0 will appear and the equation of motion becomes: v(t) = - mg tanh m With k> 0. Show that v(t) = mg -tanh and also show that the apple takes time to touch the ground is Check that this matches the answer when we don't consider the air resistance with k → 0. Tip: for very small x values e 1+x and In(1 + x e x

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Knowing that, ignoring air resistance, an apple falling from a height h hits the ground when
2h
t =
If you include air resistance, then vs 0 willappear and the equation of motion becomes:
v(t) = –
mg
tanh
gk
m
With k>0. Show that
mg
gk
v(t) = -
tanh
m
and also show that the apple takes time to touch the ground is
kh
2kh
kg
Check that this matches the answer when we don't consider the
air resistance withk→ 0. Tip: for very small x values
e 21+ x and In(1 + x )E x

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